Soften the base: Heat the sun-dried tomato oil in a large skillet over medium heat. Add the shallot and garlic and cook, stirring, until fragrant and softened, about 2-3 minutes.
2 Tablespoons oil from the sun-dried tomato jar, 1 shallot, 3 cloves garlic
Cook the orzo: Pour in the chicken broth and bring to a boil over medium-high heat. Once boiling, add the orzo, sun-dried tomatoes, and salt. Cook, stirring frequently, until the orzo is al dente and the broth is mostly absorbed, about 10-12 minutes. Stir every minute or two so the orzo doesn't stick. Add a splash more chicken broth at a time if it's absorbing more liquid. It should be thick and creamy, not dry.
6 cups low-sodium vegetable broth, 1 pound dry orzo pasta, 1 teaspoon kosher salt, 1 (8-oz) jar sun-dried tomatoes
Finish the sauce: Reduce the heat to low. Stir in the heavy cream and parmesan until the cheese melts and the sauce is glossy and coats the pasta, 1-2 minutes. Taste and add salt if needed. Serve immediately topped with torn burrata, if using, and extra parmesan.
1/2 cup heavy cream, 3/4 cup freshly grated parmesan, 1 ball burrata